The meter of this poem is iambic pentameter.
Iambic pentameter is a form of metric line employed in customary English poetry and verse drama. It express the rhythm, or meter, created by the words in the considered line; rhythm is estimated in little groups of syllables known as "feet".
It is a line of verse that as five metrical feet, with each having a short (can be called unstressed) syllable ensued by a long (can be called stressed) syllable, take for instance, Two households, both alike in dignity.
We can infer that the meter here is in iambic pentameter due to the fact that each line possesses ten syllables with its rhythm obeying the iambic patter. It implies that the stress found in each syllable switches between unstressed then stressed. We can see five sets of iambs (a group of syllables: unstressed then stressed) in the given lines.
The poem is written in iambic pentameter. (sample answer)
You can tell that the meter is in iambic pentameter because each line has ten syllables and the rhythm follows the iambic patter. This means that the stress of each syllable alternates unstressed then stressed. There are five sets of iambs (a pair of syllables: unstressed then stressed) in each line.